scholarly journals A BOHM QUANTUM-POTENTIAL DESCRIPTION FOR THE WAVE EQUATION OF SCALAR PARTICLE IN GRAVITATIONAL FIELD

1993 ◽  
Vol 42 (7) ◽  
pp. 1063
Author(s):  
WANG YI-PENG
Keyword(s):  
Wave Equation ◽  
Gravitational Field ◽  
Scalar Particle ◽  
Quantum Potential ◽  
Potential Description ◽  
Bohm Quantum Potential

Massive scalar particle in the gravitational field of a microcosmic black hole

2001 ◽  
Vol 10 (8) ◽  
pp. 679-682 ◽  
Author(s):  
Wang Yong-jiu ◽  
Tang Zhi-ming
Keyword(s):  
Black Hole ◽  
Gravitational Field ◽  
Scalar Particle ◽  
Massive Scalar

Interactions of ion acoustic multi-soliton and rogue wave with Bohm quantum potential in degenerate plasma

2017 ◽  
Vol 26 (9) ◽  
pp. 095203 ◽  
Author(s):  
M S Alam ◽  
M G Hafez ◽  
M R Talukder ◽  
M Hossain Ali
Keyword(s):  
Rogue Wave ◽  
Quantum Potential ◽  
Degenerate Plasma ◽  
Ion Acoustic ◽  
Bohm Quantum Potential

scholarly journals Are the Bader Laplacian and the Bohm Quantum Potential Equivalent?

1998 ◽  
pp. 353-358 ◽  
Author(s):  
Creon Levit ◽  
Jack Sarfatti
Keyword(s):  
Quantum Potential ◽  
Bohm Quantum Potential

scholarly journals Effects of Lorentz Symmetry Breaking and External Potential on a Relativistic Scalar Particle

2021 ◽  
Author(s):  
Faizuddin Ahmed
Keyword(s):  
Wave Function ◽  
Wave Equation ◽  
Analytical Solution ◽  
Symmetry Breaking ◽  
Scalar Potential ◽  
Scalar Particle ◽  
Lorentz Symmetry ◽  
External Potential ◽  
Energy Eigenvalues ◽  
Lorentz Symmetry Breaking

In this paper, a relativistic scalar particle under Lorentz symmetry breaking effects in the presence of a scalar potential is investigated. We introduce the scalar potential by modifying the mass via transformation M → M+S(r) in the wave equation and analyze the behaviour of a scalar particle. We see that the analytical solution to the KleinGordon equation can be achieved, and the energy eigenvalues and the wave function depends on the Lorentz symmetry breaking parameters as well as potential

GRAVITATIONAL POTENTIALS AND THE EXISTENCE OF GRAVITATIONAL GREEN'S TENSORS

1998 ◽  
Vol 13 (29) ◽  
pp. 2347-2353 ◽  
Author(s):  
P. DOLAN ◽  
B. MURATORI
Keyword(s):  
Wave Equation ◽  
Gravitational Field ◽  
Degrees Of Freedom ◽  
Tensor Potential ◽  
Non Local ◽  
Relationship Of ◽  
Tensor Formula ◽  
The Relationship ◽  
Insight Into ◽  
Gauge Conditions

The non-local part of the gravitational field Cabcd can be generated by the 16-component Lanczos tensor potential Labc. When six gauge conditions are imposed, Labe;e=0, its ten degrees of freedom match those of the Weyl tensor. The Penrose wave equation for Cabcd can be independently derived from that for Labc. The consistency between Labc and Cabcd is also shown by the compatibility of their algebraic classifications. An unexpected insight into the relationship of Labc and Cabcd is found in "Euclidean gravity" which in turn leads to the introduction of a gravitational Green's tensor [Formula: see text] corresponding to the potential Labc.

scholarly journals A procedure for calculating the many-particle Bohm quantum potential

2004 ◽  
Vol 349 (1-4) ◽  
pp. 218-226 ◽  
Author(s):  
L. Delle Site
Keyword(s):  
Quantum Potential ◽  
The Many ◽  
Bohm Quantum Potential

DIFFUSION OF SCALAR PARTICLES IN JANIS–NEWMAN–WINICOUR–WYMAN GRAVITATIONAL FIELD AND GRBs

2002 ◽  
Vol 17 (11) ◽  
pp. 647-657
Author(s):  
G. LAMBIASE ◽  
S. CAPOZZIELLO ◽  
S. CARLONI
Keyword(s):  
Wave Function ◽  
Gravitational Field ◽  
Effective Potential ◽  
Gamma Ray ◽  
Naked Singularity ◽  
Scalar Particle ◽  
Gamma Ray Bursts ◽  
Scalar Particles ◽  
Quantum Particles

The propagation of a boson particle in the Janis–Newman–Winicour–Wyman (JNWW) gravitational field is analyzed. We derive the wave function of the scalar particle, and the effective potential experienced by quantum particles. Besides, we show that the probability to find the scalar particle near the region where the naked singularity is finite. Finally, these results are proposed as a model to study the gamma ray bursts (GRBs) physics.

Non-linear Schrödinger equation coming from the action of the particle's gravitational field on the quantum potential

1992 ◽  
Vol 166 (2) ◽  
pp. 111-115 ◽  
Author(s):  
J.L. Rosales ◽  
J.L. Sánchez-Gómez
Keyword(s):  
Gravitational Field ◽  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Quantum Potential ◽  
Non Linear

scholarly journals Linear Confinement of a Relativistic Spin-0 scalar Particle under Lorentz Symmetry Violation Effects

2021 ◽  
Author(s):  
Faizuddin Ahmed
Keyword(s):  
Wave Function ◽  
Wave Equation ◽  
Symmetry Breaking ◽  
Scalar Potential ◽  
Scalar Particle ◽  
Bound State ◽  
Lorentz Symmetry ◽  
Symmetry Violation ◽  
Energy Eigenvalues ◽  
Lorentz Symmetry Breaking

In this work, linear confinement of a relativistic scalar particle under the effects of Lorentz symmetry violation is investigated. We introduce a scalar potential by modifying the mass via transformation M → M + S(r) in the wave equation, and analyze the effects on the eigenvalues and the wave function. We see that the solution of the bound state to the wave equation can be achieved, and the energy eigenvalues and the wave function modified by the Lorentz symmetry breaking parameters as well as potential

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